Answer:
Eli's garden is 10 square meters large.
Step-by-step explanation:
Area is another way to describe the size of somthing. To get the area of rectangle, simply multiply width by length, in this case: 5x2=10.
The area of Eli's garden is 10 square meters.
Choose the set of equations that best represent the following information:
The sum of two numbers, a and b, is 12. The first number, a, is 8 more than the second number.
a+b= 12, a = b+8
a+ a = 12, b-8 = a
a+b = 8, a>b+12
ab = 12, a+8>b
Answer:
a+b= 12, a = b+8
Step-by-step explanation:
We know that a plus b equals 12 a+b=12
The only other thing we know is that a is 8 more than b so a=b+8
25 POINTS + BRAINLIEST 6⋅3−^2 −3^4 ⋅9+4^0 solve using the order of operations
Answer:
241
Step-by-step explanation:
6⋅3−^2 −3^4 ⋅9+4^0
256-10-15/3
=256-10-5
=246-5
=241
Write and solve an equation to find the number n. The sum of twice a number and 13 is 75. Equation: =75 The number is n= .
Hey there! I'm happy to help!
We have twice the number.
2n
We want the sum of that and 13. Sum means to add.
2n+13
And this is 75.
Equation: 2n+13=75
We subtract 13 from both sides.
2n=62
We divide both sides by 2.
n=31
Have a wonderful day! :D
An equation is formed of two equal expressions. The value of n is 31.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the sum of twice a number and 13 is 75. Therefore, the equation for this situation can be written as,
[tex]2n+13 = 75[/tex]
Solving the above equation for n we will get,
[tex]2n+13 = 75\\\\2n = 75 -13\\\\2n= 62\\\\n = \dfrac{62}{2} \\\\n= 31[/tex]
Hence, the value of n is 31.
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A number that is a multiple of 2 is also a multiple of 4.If a number is a multiple of 2, then it a multiple of 4. False If a number is a multiple of two, then it is a multiple of 4. True If a number is a multiple of 4 then it is a multiple of 2. True If a number is a multiple of 4, then it is a multiple of 2. False False
ITS WORTH 10 PTS
Answer:
If a number is a multiple of 2, it may NOT be a multiple of 4. An example would be the number 6.
[tex]6\div2=3[/tex], but [tex]6\div4=1.5[/tex].
However, if a number is multiple of 4, it is guaranteed to be a multiple of 2, since 4 itself is a multiple of 2.
Example:
[tex]8\div4=2[/tex]
This is simply
[tex]8\div2\div2=2[/tex].
It is a multiple of 2 twice.
Answer:
A store sells six-packs of soda for $3.00 a six pack. If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?
Step-by-step explanation:
Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.
Answer:
Number = 84
Step-by-step explanation:
Given
Represent Tens with T and Ones digit with U
[tex]T = 2U[/tex]
[tex]T + U = 12[/tex]
Required
Find the number
Substitute 2U for T in the second equation
[tex]2U + U = 12[/tex]
[tex]3U = 12[/tex]
Divide through by 3
[tex]U = 4[/tex]
Substitute 4 for U in the first equation
[tex]T = 2 * 4[/tex]
[tex]T = 8[/tex]
Hence, the number is 84
(1 point)
The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplots?
school 1
school 2
2
18
4 6 8 10 12 14 16
hours in the weight room
Oь
OC
Players at school 1 typically spent more time in the weight room than players at school 2.
The middle half of the data for school 1 has more variability than the middle half of the data for school 2.
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both
schools are equal.
The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players
at school 1.
Od
Question 21 point)
*the box plots are shown in the attachment below.
Answer:
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.
Step-by-step explanation:
Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.
The median hours for school 1 = 8
The median hours for school = 9
Interquartile range on a box plot is the range of the rectangular box.
Interquartile range for school 1 = 10 - 4 = 6
Interquartile range for school 2 = 12 - 6 = 6
Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).
It is also true that the jnterquartile range for school 1 and school tok are also equal (6).
Evaluate expression if x=2 y=3 z=4 6xz + 5xy
Answer: 78
Step-by-step explanation:
[6 (2) (4)] + [5 (2) (3) ]The first bracket, 6*2* = 12, 12 * 4 = 48The second bracket, 5*2 = 10, 10 * 3 = 30Add the answers of both brackets. 48 + 30 = 78Answer:
78
Step-by-step explanation:
If your car can travel 40.5 mi on 3 gal of gasoline how many miles can the car travel on 28 gal of gasoline under similar driving conditions?
Answer:
378 Miles
Step-by-step explanation:
40.5 / 3 = 13.5
13.5 * 28 = 378
Write your own word problem that can be translated into the equation x + 4 = 10. What does the variable x represent in your problem?
The required problem can be stated as the sum of a number and 4 is 10.
What is the equation?the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
To write a word a problem can be translated into the equation x + 4 = 10. So, the problem can be given as " the required problem can be stated as the sum of a number, and 4 is 10."
Thus, the required problem can be stated as the sum of a number, and 4 is 10.
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Use the intersect method to solve the equation.
7²-7-8²+1
In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now?
Answer:
45 yrs old
Step-by-step explanation:
x + 3 = 4(x - 33)
:x + 3 = 4(x) - 132
Add 132 and minus x on both sides of equation
then: 135 = 3(x)
Answer:
Present age of Dianna is 45 years old
Step-by-step explanation:
Let "x" be the present age of Dianna
Given that, In 3 years, Dianna will be 4 times as old as she was 33 years ago
Then: In three years time Diana’s age would be x + 3
And: thirty three years ago it would have been x - 33
From given question,
x + 3 = 4 times as old as she was 33 years ago
x + 3 = 4(x - 33)
x + 3 = 4x - 132
x - 4x = -132 - 3
-3x = -135
x = 45
Thus present age of Dianna is 45 years old
A certain reality TV show lost 9,000 viewers over the past 3 months.If they lost the same number of viewers each month how many viewers did they lose each month
Answer:
3,000 viewers each month.
Step-by-step explanation:
1. they lost the same amount each month, which means you can divide the viewers lost by the number of months (3)
2. that would be 9,000/3
3. 3,000
4. You know you've got the right answer because this would multiply back to 9,000 with the same amount of viewers lost every month.
Solve for x: 3(x + 1) = -2(x - 1) +6. (1 point)
O
1
a
Ob
4
ос
5
d
25
Consider this expression.
(x + 5) (5 – 7)
Complete the box to show the distributive property applied to this expression.
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
what it the explicit formula for 8
Answer:
-8
Step-by-step explanation:
THANKS
Solve for p in the literal equation 5p + 9r = q.
Answer:
p = q/5 - 9r/5
Step-by-step explanation:
Step 1: Write equation
5p + 9r = q
Step 2: Solve for p
Subtract 9r on both sides: 5p = q - 9r
Divide both sides by 5: p = q/5 - 9r/5
What is the domain of the relation?
Answer:
the domain of the relation is C
The domain of the given graph is -4≤x≤6. Therefore, the correct answer is option C.
From the given graph, extremes of line graph are (6, 4) and (-4, -4).
The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
Here, the domain of the graph is -4≤x≤6
The range of the graph is -4≤x≤4
Therefore, the correct answer is option C.
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If AB = BC, AB = 4x -2, and BC = 3x + 3, find the
length of AB.
Answer:
AB = 18
Step-by-step explanation: AB = BC
4x -2 = 3x + 3... subtract 3x and add 2
1x = 5.. divide both sides by 1 and x= 5
plug x into 4x -2
4(5) -2 = 18
The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
We have been given that AB = BC, AB = 4x -2, and BC = 3x + 3, then we need to find the length of AB.
Therefore,
AB = BC
Now substitute the given parameters;
AB = BC
4x -2 = 3x + 3
Then subtract 3x both the sides and add 2;
1x = 5
Then divide both sides by 1
x= 5
Now plug x into 4x -2
AB = 4x -2
AB = 4(5) -2 = 18
AB = 18
Hence, The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.
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Which equation is equivalent to 5p - 4 = 3p + 6?
Answer:
8p
Step-by-step explanation:
5p-4=3p+6
-3p from 5p
2p-4=6
+4 at 4 to the 6
2p=10
divide 2p=10
8p
this should be right but not 100% thanks for the points
melinda is reading a story that has several characters. The character chloe is described in great detail and has several unique traits. What kind of character is chloe?
A. Flat
B. Round
C. Static
D. Heroic
Answer:
round
Step-by-step explanation:
hope I helped
Answer:
its B
Step-by-step explanation:
7.4x10^-8-6.7x10^-9 please help me I don’t know the answer
Answer:
Step-by-step explanation:
7.4×10^(-8) - 6.7×10^(-9) = 6.73×10^-8 is 9.05405% smaller than 7.4×10^(-8) = 7.4×10^-8
rewrite each expression using distributive property 24-9 15+42 81-15
Answer:
Step-by-step explanation:
you want to use PEMDAS which is parenthesis exponents multiplication division addition subtraction and work your way from left to right. so 15+42=57 and then 24-9=15 and 81-15=66 hope this helped :)
I need help with this question
Answer:
1110.0 units
Step-by-step explanation:
The balance reading is the sum of the readings on each of the scales:
100 +1000 +10 = 1110 . . . units
Expressed to the nearest tenth, this is ...
1110.0 units
(No units are shown on the balance scale, so we don't know if this is micrograms or tons or something in between.)
A square garden has an area of 1604 square feet. Approximately how long
is each side of the garden?
Answer:
102 sq. ft.
Step-by-step explanation:
In order to find the side lengths, we divide 1604 by 2. Since it's a square, each side is the same length. Area is length times width so we only need two sides.
1604÷2=102
At the sound of the game starting buzzer, the pizza delivery man knocked at the door. Joseph received 3 large
meat lover's pizzas for himself and 13 of his closest friends. If each person wants 14 of a pizza, did Joseph
order enough food for everyone?
Answer:
no he did not
Step-by-step explanation:
well if everyone wanted 14 pieces but he has 13 friends + him if they wanted 14 pieces they would need 182 pieces of
x/5-30=10 what is the answer and solution?
Answer:
x=200
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
200/5-30=10
convert 21 ft 9 in into yards feet and inches
Answer:
21 ft 9 in yards is 7.3 in inches it's 262.8
0.3(5x - 1.5) = 7.5 x= ?
Answer:
x=5.3
Step-by-step explanation:
.3(5x-1.5)=7.5
1.5x-.45=7.5
1.5x=7.95
x=5.3
Classify each scale factor as a contraction or an expansion. Drag and drop the choices into the boxes to complete the table. Contraction Expansion 1.25 -2 3/4 1/5 3
Scale factor 1.25 is an expansion since we 'enlarge' the original size 1.25 times
Scale factor 3 is an expansion since we 'enlarge' the original size by 3 times
Scale factor -2 is also an expansion since we 'enlarge' the original size by 2 times but on the opposite direction of the centre of enlargement
Scale factor 3/4 is a contraction since we make the original size 'smaller' by 0.75 times
Scale factor 1/5 is also a contraction since we make the original size 'smaller' by 0.20 times
Literally, contraction means to reduce; while expansion means to increase.
The scale factors that represent contraction are 3/4 and 1/5The scale factors that represent expansion are 1.25, -2 and 3The following absolute value inequalities are used to determine if a scale factor (k) is an expansion or a contraction.
[tex]|k | > 1[/tex] represents expansion[tex]0 < |k | < 1[/tex] represents contractionSo, we have:
The absolute value of 1.25, -2 and 3 are greater than 1. i.e.
[tex]|1.25| > 1[/tex]
Remove absolute brackets
[tex]1.25 > 1[/tex]
[tex]|-2| > 1[/tex]
Remove absolute brackets
[tex]2 > 1[/tex]
[tex]|3| > 1[/tex]
Remove absolute brackets
[tex]3 > 1[/tex]
Hence, 1.25, -2 and 3 are all expansion scale ratios
The absolute value of 3/4 and 1/5 are between 0 and 1. i.e.
[tex]0 > |3/4| > 1[/tex]
[tex]0 > |0.75 | > 1[/tex]
Remove absolute brackets
[tex]0 > 0.75 > 1[/tex]
[tex]0 > |1/5| > 1[/tex]
[tex]0 > |0.2| > 1[/tex]
Remove absolute brackets
[tex]0 > 0.2 > 1[/tex]
Hence, 3/4 and 1/5 are all contraction scale ratios
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Consider the equation: x^2-4x+4=2x Rewrite the equation by completing the square. Your equation should look like (x+a)^2=b or (x-c)^2=d
Answer:
[tex](x-3)^2=5[/tex]
Step-by-step explanation:
[tex]x^2-4x+4=2x[/tex]
[tex]x^2-4x+4-2x=2x-2x[/tex]
[tex]x^2-6x+4=0[/tex]
[tex]x^2-6x=-4[/tex]
[tex]x^2-6x+9=-4+9[/tex]
[tex](x-3)^2=5[/tex]
Solving:
[tex]x-3=\pm \sqrt{5}[/tex]
[tex]x=3 \pm \sqrt{5}[/tex]
An equation is formed when two equal expressions. The equation by completing the square can be rewritten as (x-3)²=5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be rewritten in the equation form by completing the square as,
x² - 4x + 4 = 2x
Bring the like terms on the same side of the equation,
x² - 4x - 2x + 4 = 0
Simplify the like terms of the equation,
x² - 6x + 4 = 0
Add positive 5 to both sides of the equation,
x² - 6x + 4 + 5 = 5
Solve the like terms,
x² - 6x + 9 = 5
Using the binomial property (a-b)²=a²+b²-2ab, x² - 6x + 9 can be written as,
(x - 3)² = 5
Hence, the equation by completing the square can be rewritten as (x-3)²=5.
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